## Poll

 I love math! 16 votes (50%) Math is great. 12 votes (37.5%) My religion is mathology. 5 votes (15.62%) Women didn't speak to me until I was 30. 2 votes (6.25%) Total eclipse reminder -- 04/08/2024 10 votes (31.25%) I steal cutlery from restaurants. 3 votes (9.37%) I should just say what's on my mind. 6 votes (18.75%) Who makes up these awful names for pandas? 5 votes (15.62%) I like to touch my face. 10 votes (31.25%) Pork chops and apple sauce. 7 votes (21.87%)

32 members have voted

Gialmere
Joined: Nov 26, 2018
• Posts: 2047
December 8th, 2020 at 4:55:37 PM permalink
Quote: ChesterDog

Let r = the radius of the circle.
Let A = the central angle subtending a side of length 2.
Let B = the central angle subtending a side of length 7.
Let C = the central angle subtending a side of length 11.

Apply the "law of cosines" for each angle:
cos A = ( r2 + r2 - 22 ) / (2 r2 ) = 1 - 22 / ( 2 r2 )
cos B = ( r2 + r2 - 72 ) / (2 r2 ) = 1 - 72 / ( 2 r2 )
cos C = ( r2 + r2 - 112 ) / (2 r2 ) = 1 - 112 / ( 2 r2 )

Using "trial and error" to find r such that 2A + 2B + 2C = 360 degrees yields r = 7.

Correct!
----------------------------------

Have you tried 22 tonight? I said 22.
Gialmere
Joined: Nov 26, 2018
• Posts: 2047
December 9th, 2020 at 8:21:08 AM permalink
NOTE: To play this puzzle, you must be familiar with the rules and components of the standard, Atlantic City version of Monopoly.

What is the most money you can possibly earn from the Go space in a single Monopoly game turn?

Explain how.

BONUS: What is the probability of it happening?
(This bonus probably isn't worth your time doing and, I confess, I don't know the answer since I keep thinking of new ways.)
Have you tried 22 tonight? I said 22.
Joeman
Joined: Feb 21, 2014
• Posts: 1974
December 9th, 2020 at 8:57:53 AM permalink
\$600

1st roll is a 2 -- Community Chest:

2nd roll is another 2 -- Community Chest:

3rd roll is a 5 -- Chance:

Note that this does not account for the common, but horrible house rule of putting money from the bank into Free Parking.

ETA -- I like chevy's answer better than mine!
"Dealer has 'rock'... Pay 'paper!'"
chevy
Joined: Apr 15, 2011
• Posts: 86
Thanks for this post from:
December 9th, 2020 at 9:03:34 AM permalink

roll 1+1 ----> Community Chest -----> Advance to Go, collect \$200
roll 1+1 ----> Community Chest -----> Opening night at opera, Collect \$50 from each of 7 (max) other players = \$350

Total = \$750

Joeman
Joined: Feb 21, 2014
• Posts: 1974
December 9th, 2020 at 9:11:34 AM permalink
Quote: chevy

roll 1+1 ----> Community Chest -----> Advance to Go, collect \$200
roll 1+1 ----> Community Chest -----> Opening night at opera, Collect \$50 from each of 7 (max) other players = \$350

Total = \$750

I didn't even think of the "Collect \$50/opponent card." In my defense, I don't think I've ever played with more than 5 people, so it was never worth more than \$200!

While we're at it, how about a:
More trivia than a puzzle, but... How many different property spaces (Street, RR, or Utility) are there to which a Chance card may direct your token? Can you name them?

One of them is tricky.
"Dealer has 'rock'... Pay 'paper!'"
Gialmere
Joined: Nov 26, 2018
• Posts: 2047
December 9th, 2020 at 9:16:46 AM permalink
The question asks what is the most money you can earn from passing/landing on Go in a single (not necessarily your first) turn.
Have you tried 22 tonight? I said 22.
chevy
Joined: Apr 15, 2011
• Posts: 86
December 9th, 2020 at 9:23:16 AM permalink
Thanks Joeman. As to your bonus puzzle, I can think of

Directly Specified: Illinois, ST. Charles, Boardwalk, Reading
Indirectly specified : 2 nearest Utilities, 4 nearest railroads (only adds 3 to count)

If you include where you can end up, There is also Jail and GO....but you didn't list those as choices.

Would go back three to end on New York count? (I loved owning the oranges for exactly this reason by the way)

So maybe 9 + 2 + 1 = 12??

Joeman
Joined: Feb 21, 2014
• Posts: 1974
Thanks for this post from:
December 9th, 2020 at 9:32:12 AM permalink
Ah, I thought you meant how much starting from GO.

\$800

Roll 1: start from Boardwalk and roll a hard 8 (or Park Place with a hard 10 or Short Line with a 12):
Pass Go and collect \$200, then Chance:

+\$200

Roll 2: 2 -- Community Chest:

+\$200

Roll 3: 5 -- Chance:

+ \$200 for a total of \$800 all from passing Go.
"Dealer has 'rock'... Pay 'paper!'"
chevy
Joined: Apr 15, 2011
• Posts: 86
December 9th, 2020 at 9:41:09 AM permalink
I took your original wording as "From the GO space" to mean that is where you were starting FROM.

I guess you meant it to mean earning as a result of the passing/landing on GO, without any other monies earned.

In that case I would get

Start on say Pennsylvania
Roll 4+4 to pass go (collect \$200) and land on first community chest
----draw Adance to GO (Collect \$200)
Roll 7 to land on Chance and Advance to GO (Collect \$200)

Total = \$600???

chevy
Joined: Apr 15, 2011